2D nonlocal elasticity: Investigation of stress and strain fields in complex shape regions

被引：0

作者：

Kuvyrkin, Georgy Nikolaevich ^{[1
]}

Savelyeva, Inga Yurievna ^{[1
,2
]}

Sokolov, Andrey Alexandrovich ^{[1
]}

机构：

[1] Bauman Moscow State Tech Univ, Appl Math, 2nd Baumanskaya St 5,Bldg 1, Moscow 105005, Russia

[2] 2nd Baumanskaya St 5,Bldg 1, Moscow 105005, Russia

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2023年 / 103卷 / 03期

关键词：

D O I：

10.1002/zamm.202200308

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper presents the features of solutions to nonlocal elasticity problems in domains with stepped transitions and elliptical notches. A comparative analysis of the solutions obtained in the classical and nonlocal elasticity theories was carried out, as well as an analysis of the influence of the main parameters of the model on the final results. The presented solutions for the region with a step transition are in qualitative agreement with the experimental data and have similar portraits of deformations and resultant stresses along the loading axis. In regions with elliptical notches, similar effects are observed. In addition to qualitative agreement with experiments, solutions in the nonlocal formulation have lower stress values in the concentrators and exhibit edge effects, which are characterized by sharp stress and strain gradients at the domain boundaries. The solutions were carried out numerically by the finite element method.

引用

页数：12